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1. (10) Let a nominal (quoted) interest rate be: I NOM =6%. a. Find I PER for M=2, 4, 12, and 365 (semiannually, quarterly, monthly,

1. (10) Let a nominal (quoted) interest rate be: INOM=6%.

a. Find IPER for M=2, 4, 12, and 365 (semiannually, quarterly, monthly, and daily periodical interest rates, respectively).

b. Find the effective (equivalent) annual rate (EFF%/EAR) for semiannually, quarterly, monthly, and daily compounded rates. Assume INOM=6%.

EARANNUAL

EARSEMIANNUALLY

EARQUARTERLLY

EARMONTHLY

EARDAILLY

2. (5) The following questions are based on slide #32. This is an example of lump sum (e.g., Slide #3). Why?

What is the FC of $100 after 3 years under 6% (INOM=6%) monthly compounding?

a. Find the FV using a formula (refer to #32). Show formula used.

b. Find the FV using a financial calculator. Hint: First find EAR. Write down the inputs.

3. (5) The following questions are based on ordinary annuity (see Slides # 34 37).

a. Find the FV of a 3-year $100 ordinary annuity when the quoted interest rate is 4% (INOM=4%) compounded monthly.

b. Find the PV of this 3-year annuity$100 ordinary annuity when the quoted interest rate is 4% compounded monthly.

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